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Finding the Third Proportional to 94,370 and 144,838

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Solution

The third proportional to 94,370 and 144,838 is: 222,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,370 : 144,838 = 144,838 : x
  2. Step 2: Convert to fraction form
    94,370/144,838 = 144,838/x
  3. Step 3: Cross multiply
    94,370x = 144,838 × 144,838
  4. Step 4: Simplify right side
    94,370x = 20,978,046,244
  5. Step 5: Solve for x
    x = 20,978,046,244/94,370
  6. Step 6: Final answer
    x = 222,295.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.